integral from-2 to x of 100-x^4

Lösung

\int_{- 2}^{x} 100 - x^{4} d x

100 x + 200 - \frac{x ^{5} + 32}{5}

Schritte zur Lösung

\int_{- 2}^{x} 100 - x^{4} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{x} 100 d x - \int_{- 2}^{x} x^{4} d x

\int_{- 2}^{x} 100 d x = 100 x + 200

\int_{- 2}^{x} x^{4} d x = \frac{x ^{5} + 32}{5}

= 100 x + 200 - \frac{x ^{5} + 32}{5}

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